Question

Express as a fraction p÷q. 1) 0.003522222...

Answer 1

here the number is 0.00352222222222222222222222.........
we can take this number as 0.00352 bar . bar is taken in two.
( the symbol of bar is - is usually written over the number to show that it is infinity)

let x = 0.0035222.....           ---(1)
multiplying both the sides by 10
10x  = 0.035222........         ----(2)
now let us subtract equation (1) from (2)
10x-x = 0.035222..  -  0.0035222...
 9x     = 0.0317
    x  =   o.o317/9
     x  =   317/90000

hence the required fraction is 317/9000